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INDONESIA
JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Published by Universitas Hasanuddin
ISSN : 18581382     EISSN : 26148811     DOI : -
Core Subject : Education,
Mathematics
Jurnal ini mempublikasikan paper-paper original hasil-hasil penelitian dibidang Matematika, Statistika dan Komputasi Matematika.
Arjuna Subject : -
Articles 5 Documents
 1 
Search results for , issue "Vol. 3 No. 1: July 2006" : 5 Documents clear
Stability Analysis And Maximum Profit Of Logistic Population Model With Time Delay And Constant Effort Of Harvesting Syamsuddin Toaha
Jurnal Matematika, Statistika dan Komputasi Vol. 3 No. 1: July 2006
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (234.76 KB) | DOI: 10.20956/jmsk.v3i1.3296

Abstract

In this paper we develop the logistic population model by considering a time delay and constant effort of harvesting. The time delay makes the model more accurate and harvesting is incorporated since the population is beneficial or the population is under control. We study the sufficient conditions to assure the existence of the population. Perturbation method is used to linearize the model and the stability of the equilibrium point is determined by inspection of the eigenvalues. The results show that there exists a globally asymptotically stable equilibrium point for the model with and without time delay and harvesting. The time delay can induce instability and a Hopf bifurcation can occur. The stable equilibrium point for the model with harvesting is then related to profit function problem. We found that there exists a critical value of the effort that maximizes the profit and the equilibrium point also remains stable. This means that the population can exist and give maximum profit although it is harvested with constant effort of harvesting.
Seleksi Model Multinomial Logit Melalui Metode Maksimum Likelihood Dan Kuadrat Terkecil Diperumum Erna Tri Hardiani
Jurnal Matematika, Statistika dan Komputasi Vol. 3 No. 1: July 2006
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (181.504 KB) | DOI: 10.20956/jmsk.v3i1.3297

Abstract

Regresi kualitatif akhir-akhir ini banyak digunakan sebagai jawaban atas beragamnya data set yang terdiri dari data kualitatif dan data kuantitatif. Dalam penelitian ini penulis memiliki data set dalam bentuk respon yang terdiri dari data kualitatif terurut berdistribusi multnomial sedangkan peubah prediksi berbentuk data kategorikal. Dengan kedua asumsi tersebut penulis memilih menggunakan Model Multinomial Logit, Alan Agresti (1990). Dari proses tersebut penaksiran parameter dilakukan dengan dua metode yakni metode kuadrat terkecil di perumum dan metode maksimum likelihood, Gonzales, P.L. (1993). Selanjutnya akan dipilih metode mana yang lebih efektif. Di dalam penelitian ini, hasilnya akan diaplikasikan untuk menentukan peluang seseorang menderita demam berdarah di kota Makassar berdasarkan data dari Rumah Sakit Umum Pemerintah (RSUP) Wahidin Sudirohusodo di Makassar, Sulawesi Selatan.
Model Predator Prey Harimau Sumatera (Panthera Tigris Sumatrae) Dan Babi Hutan (Sus Scrofa) Kasbawati Kasbawati
Jurnal Matematika, Statistika dan Komputasi Vol. 3 No. 1: July 2006
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (221.969 KB) | DOI: 10.20956/jmsk.v3i1.3298

Abstract

Makalah ini mengangkat masalah tentang model predator prey antara Harimau Sumatera sebagai predator dan Babi Hutan sebagai prey. Tingginya tingkat perburuan liar Harimau Sumatera menyebabkan populasinya terancam punah. Melalui model yang dibentuk akan ditentukan suatu kebijakan perburuan legal sehingga walaupun Harimau Sumatera diburu tetapi tidak mengakibatkan populasinya terancam punah.
Model Matematika Penyebaran Virus HIV Melalui Kontak Sex Budi Nurwahyu
Jurnal Matematika, Statistika dan Komputasi Vol. 3 No. 1: July 2006
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (250.362 KB) | DOI: 10.20956/jmsk.v3i1.3299

Abstract

Di dalam paper ini dikemukakan tentang model penyebaran virus HIV melalui kontak sex pada daerah tertutup antara populasi Normal dan populasi Penjaja sex. Pemodelan dilakukan dengan menggunakan sistem persamaan diferential linier dengan melibatkan variabel besarnya populasi Normal yang Suceptible(SN(t)), populasi Normal yangterinfeksi(IN(t)), populasi Penjaja Sex yang suseptible(SP(t) ) dan populasi Penjaja Sex yang terinfeksi(IP(t)). Pada model ini hanya menggunakan populasi Normal dan Populasi Penjaja Sex. Dianggap tidak ada pembedaan kelamin baik dari populasi Normal maupun populasi Penjaja Sex . Intensitas berkembangnya populasi yang terinfeksi ditunjukan melalui Basic Reproduction Number(BRN) serta ditunjukan pula pengaruh BRN terhadap kestabilan asimtotik pada keadaan non endemik(Disease Free Equilibrium) maupun yang endemik
Penggunaan Data Mining Saat Ini Dan Tantangannya Di Masa Depan Sri Astuti Thamrin
Jurnal Matematika, Statistika dan Komputasi Vol. 3 No. 1: July 2006
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (139.694 KB) | DOI: 10.20956/jmsk.v3i1.3295

Abstract

This paper begins by describing the main activities involved in the data mining process and highlight the two major styles of data mining: supervised and unsupervised. It then describes two “hot” areas where data mining applications are being used successfully business database systems and the Internet. Finally, it concludes by examining the challenges and research issue data mining will face in the future

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